1,501 research outputs found
On Killing tensors and cubic vertices in higher-spin gauge theories
The problem of determining all consistent non-Abelian local interactions is
reviewed in flat space-time. The antifield-BRST formulation of the free theory
is an efficient tool to address this problem. Firstly, it allows to compute all
on-shell local Killing tensor fields, which are important because of their deep
relationship with higher-spin algebras. Secondly, under the sole assumptions of
locality and Poincare invariance, all non-trivial consistent deformations of a
sum of spin-three quadratic actions deforming the Abelian gauge algebra were
determined. They are compared with lower-spin cases.Comment: 10 pages. Based on a talk given by X.B. at the RTN Workshop
``Constituents, Fundamental Forces and Symmetries of the Universe'' (Corfu,
20-26th September 2005). Contribution to the Proceeding
Access Interfaces for Open Archival Information Systems based on the OAI-PMH and the OpenURL Framework for Context-Sensitive Services
In recent years, a variety of digital repository and archival systems have
been developed and adopted. All of these systems aim at hosting a variety of
compound digital assets and at providing tools for storing, managing and
accessing those assets. This paper will focus on the definition of common and
standardized access interfaces that could be deployed across such diverse
digital respository and archival systems. The proposed interfaces are based on
the two formal specifications that have recently emerged from the Digital
Library community: The Open Archive Initiative Protocol for Metadata Harvesting
(OAI-PMH) and the NISO OpenURL Framework for Context-Sensitive Services
(OpenURL Standard). As will be described, the former allows for the retrieval
of batches of XML-based representations of digital assets, while the latter
facilitates the retrieval of disseminations of a specific digital asset or of
one or more of its constituents. The core properties of the proposed interfaces
are explained in terms of the Reference Model for an Open Archival Information
System (OAIS).Comment: Accepted paper for PV 2005 "Ensuring Long-term Preservation and
Adding Value to Scientific and Technical data"
(http://www.ukoln.ac.uk/events/pv-2005/
Gauge invariants and Killing tensors in higher-spin gauge theories
In free completely symmetric tensor gauge field theories on Minkowski
space-time, all gauge invariant functions and Killing tensor fields are
computed, both on-shell and off-shell. These problems are addressed in the
metric-like formalisms.Comment: LaTeX, 24 pages, no figure. One reference added and one definition
corrected. Accepted for publication in NP
On Nonlinear Higher Spin Curvature
We present the first nonlinear term of the higher spin curvature which is
covariant with respect to deformed gauge transformations that are linear in the
field. We consider in detail the case of spin 3 after presenting spin 2 as an
example, and then construct the general spin s quadratic term of the
deWit-Freedman curvature.Comment: 12 page
An infinite supermultiplet of massive higher-spin fields
The representation theory underlying the infinite-component relativistic wave
equation written by Majorana is revisited from a modern perspective. On the one
hand, the massless solutions of this equation are shown to form a
supermultiplet of the superPoincare algebra with tensorial central charges; it
can also be obtained as the infinite spin limit of massive solutions. On the
other hand, the Majorana equation is generalized for any space-time dimension
and for arbitrary Regge trajectories. Inspired from these results, an infinite
supermultiplet of massive fields of all spins and of equal mass is constructed
in four dimensions and proved to carry an irreducible representation of the
orthosymplectic group OSp(1|4) and of the superPoincare group with tensorial
charges.Comment: 29 pages, references [30] added. To appear in JHE
Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
Quadratic, second-order, non-local actions for tensor gauge fields
transforming in arbitrary irreducible representations of the general linear
group in D-dimensional Minkowski space are explicitly written in a compact form
by making use of Levi-Civita tensors. The field equations derived from these
actions ensure the propagation of the correct massless physical degrees of
freedom and are shown to be equivalent to non-Lagrangian local field equations
proposed previously. Moreover, these actions allow a frame-like reformulation a
la MacDowell-Mansouri, without any trace constraint in the tangent indices.Comment: LaTeX, 53 pages, no figure. Accepted for publication in
Communications in Mathematical Physics. Local Fierz-Pauli programme achieved
by completing the analysis of Labastid
Deformations of duality-symmetric theories
We prove that a sum of free non-covariant duality-symmetric actions does not
allow consistent, continuous and local self-interactions that deform the gauge
transformations. For instance, non-Abelian deformations are not allowed, even
in 4 dimensions where Yang-Mills type interactions of 1-forms are allowed in
the non-manifestly duality-symmetric formulation. This suggests that
non-Abelian duality should require to leave the standard formalism of
perturbative local field theories. The analyticity of self-interactions for a
single duality-symmetric gauge field in four dimensions is also analyzed.Comment: 35 pages, typo corrections and one reference added, submitted to
Nucl. Phy
Quartet unconstrained formulation for massless higher spin fields
We construct simple unconstrained Lagrangian formulations for massless higher
spin fields in flat space of arbitrary dimension and on anti de Sitter
background. Starting from the triplet equations of Francia and Sagnotti, which
describe a chain of spin modes, we introduce an auxiliary field and find
appropriate gauge invariant constraints that single out the spin-s mode. The
resulting quartet of fields, thus describing an irreducible representation of
the Poincare group, is used to construct simple Lagrangian formulations, which
are local, free from higher derivative terms and use equal number of auxiliary
fields for an unconstrained description of any value of spin. Our method proves
to be most efficient for an unconstrained description of massless higher spin
fermions in anti de Sitter space. A relation of the minimal models with the
universal BRST approach is discussed.Comment: V4: 27 pages; references and acknowledgement adde
Transverse Invariant Higher Spin Fields
It is shown that a symmetric massless bosonic higher-spin field can be
described by a traceless tensor field with reduced (transverse) gauge
invariance. The Hamiltonian analysis of the transverse gauge invariant
higher-spin models is used to control a number of degrees of freedom.Comment: 12 pages, no figures. The general proof and the example of a spin-3
adde
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